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Finding the Fourth Proportional to 610,470.80, 915,706.20 and 311,872.40

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Solution

The fourth proportional to 610,470.80, 915,706.20 and 311,872.40 is: 467,808.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,470.80 : 915,706.20 = 311,872.40 : x
  2. Step 2: Convert to fraction form
    610,470.80/915,706.20 = 311,872.40/x
  3. Step 3: Cross multiply
    610,470.80x = 915,706.20 × 311,872.40
  4. Step 4: Simplify right side
    610,470.80x = 285,583,490,288.88
  5. Step 5: Solve for x
    x = 285,583,490,288.88/610,470.80
  6. Step 6: Final answer
    x = 467,808.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.